A binary ripple counter is required to count up to 16383. How many flip-flops…
2013
A binary ripple counter is required to count up to 16383. How many flip-flops are required?
- A.
16382
- B.
8191
- C.
512
- D.
14
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Correct answer: D
A binary counter with n flip-flops can count up to 2^n - 1 states. To reach 16383, we solve 2^n - 1 >= 16383, which means 2^n >= 16384. Since 2^14 equals 16384, exactly 14 flip-flops are required to cover this range.
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